anonymous
  • anonymous
In your closet you have a choice of three different pairs of jeans, three sweaters and five shirts. How many different outfits are possible if all combinations coordinate?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
The questions is do I add the choices together or multiply them?
anonymous
  • anonymous
Well to assemble an outfit you must pick 1 jean, 1 sweater, and 1 shirt. So if you must do 3 different tasks to complete a job (make an outfit) you must multiply the number of different ways you can do each task.
anonymous
  • anonymous
It's 165 combinations possible right? Or did I mess up somewhere?

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anonymous
  • anonymous
The only time you add is if you can do a job by doing one task OR another task. Then you would add the different ways you can do task1 and the different ways you can do task2. But if you must do task1 AND task2 then you multiply.
anonymous
  • anonymous
That seems like too many.
anonymous
  • anonymous
There are 3 different ways you can pick your jeans. There are 3 different ways you can pick your sweater. There are 5 different ways you can pick your shirt. The number of ways you can pick a jean AND a sweater AND a shirt is: 3 * 3 * 5 = 45
anonymous
  • anonymous
Unless you are suggesting you can have a shirt and no sweater also, or a sweater and no shirt
anonymous
  • anonymous
I assume you must have pants at least ;)
anonymous
  • anonymous
I'm not, but the problem was suggesting that it was an equation using combinations, where as you're using the counting principle. ~ Good assumption.
anonymous
  • anonymous
Or at least I think you are.
anonymous
  • anonymous
Well I am using combinations: 3C1 * 3C1 * 5C1 = 45 But if you are going to have sweaters and no shirts or shirts and no sweaters too it'd be 3C1 * 3C1 * 5C1 + 3C1 * 3C1 + 3C1 * 5C1 = 69
anonymous
  • anonymous
Assuming you must have at least jeans and either a shirt or a sweater (or both) and not more than one of any kind of thing.
anonymous
  • anonymous
I'm not wearing two pairs of pants.. that's just silly.
anonymous
  • anonymous
Well the sheets I'm given to work out are hardly ever right and barely give any information on how to solve the darn thing, so it could be suggesting that you are wearing two pants at once, would get rather hot if you ask me, but it could happen.
anonymous
  • anonymous
I dunno. Sounds hotter to not be wearing pants ;p
anonymous
  • anonymous
To each his own, I suppose.

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